45 citations · 129 across the 7 of their papers we have counts for
7 papers
A mixture theory-based finite element formulation for the study of biodegradation of poroelastic scaffolds
Priyanka Patki, Francesco Costanzo
We derive a mixture theory-based mathematical model of the degradation of a poroelastic solid immersed in a fluid bath. The evolution of the solid's mechanical and transport proper…
Acoustic Streaming: An Arbitrary Lagrangian-Eulerian Perspective
Nitesh Nama, Tony Jun Huang, Francesco Costanzo
We analyze acoustic streaming flows using an ALE perspective. The formulation stems from an explicit separation of time-scales resulting in two subproblems: a first-order problem,…
Investigation of acoustic streaming patterns around oscillating sharp edges
Nitesh Nama, Po-Hsun Huang, Tony Jun Huang +1
Oscillating sharp edges have been employed to achieve rapid and homogeneous mixing in microchannels using acoustic streaming. Here we use a perturbation approach to study the flow…
Benchmarking the Immersed Finite Element Method for Fluid-Structure Interaction Problems
Saswati Roy, Luca Heltai, Francesco Costanzo
We present an implementation of a fully variational formulation of an immersed method for fluid-structure interaction problems based on the finite element method. While typical imp…
The Invalidity of the Laplace Law for Biological Vessels and of Estimating Elastic Modulus from Total Stress vs. Strain: a New Practical Method
Francesco Costanzo, James G. Brasseur
The quantification of the stiffness of tubular biological structures is often obtained, both in vivo and in vitro, as the slope of total transmural hoop stress plotted against hoop…
A Fully Coupled Immersed Finite Element Method for Fluid Structure Interaction via the Deal.II Library
Luca Heltai, Saswati Roy, Francesco Costanzo
We present the implementation of a solution scheme for fluid-structure interaction problems via the finite element software library deal.II. The solution scheme is an immersed fini…
Variational Implementation of Immersed Finite Element Methods
Luca Heltai, Francesco Costanzo
Dirac-delta distributions are often crucial components of the solid-fluid coupling operators in immersed solution methods for fluid-structure interaction (FSI) problems. This is ce…